Knuth’s Generalization of McCarthy’s 91 Function

  • John Cowles
Part of the Advances in Formal Methods book series (ADFM, volume 4)


Donald E. Knuth of Stanford University asks [63] for a “proof by computer” of a theorem about his generalization, involving real numbers, of John McCarthy’s 91 function. This case study explores a largely successful attempt to use ACL2 to meet Knuth’s challenge. Real numbers are dealt with by mechanically verifying results that are true, not only about the field of all real numbers, but also about every subfield of that field.


Recursive Call Total Function Recursive Equation Proof Obligation Previous Item 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • John Cowles
    • 1
  1. 1.Department of Computer ScienceUniversity of WyomingUSA

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